The pseudoarc is a co-existentially closed continuum
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🧮 math.LO
math.GNmath.OA
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continuumansweringclosedco-existentiallypseudoarcquestionauthorsbankston
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Answering a question of P. Bankston, we show that the pseudoarc is a co-existentially closed continuum. We also show that $C(X)$, for $X$ a nondegenerate continuum, can never have quantifier elimination, answering a question of the the first and third named authors and Farah and Kirchberg.
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